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Finding the Third Proportional to 61,258 and 92,246

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Solution

The third proportional to 61,258 and 92,246 is: 138,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,258 : 92,246 = 92,246 : x
  2. Step 2: Convert to fraction form
    61,258/92,246 = 92,246/x
  3. Step 3: Cross multiply
    61,258x = 92,246 × 92,246
  4. Step 4: Simplify right side
    61,258x = 8,509,324,516
  5. Step 5: Solve for x
    x = 8,509,324,516/61,258
  6. Step 6: Final answer
    x = 138,909.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.